Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
ilikephysics2
Group Title
Find the first 4 terms of the taylor series of sin x at x = pi/4.
 2 years ago
 2 years ago
ilikephysics2 Group Title
Find the first 4 terms of the taylor series of sin x at x = pi/4.
 2 years ago
 2 years ago

This Question is Closed

ilikephysics2 Group TitleBest ResponseYou've already chosen the best response.0
The first 4 derivatives are cos(x) then sin(x) then cos(x) and then sin(x)
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
sin(pi/4) + cos(pi/4) * (xpi/4) sin(pi/4) * (1/2!) (xpi/4)^2 .....
 2 years ago

ilikephysics2 Group TitleBest ResponseYou've already chosen the best response.0
is that it?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
pretty straightforward.. what was your question about?
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
that's the first 3 terms... you should be able to get the 4th now?
 2 years ago

ilikephysics2 Group TitleBest ResponseYou've already chosen the best response.0
That does not look right though
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
well... I lied a bit... a few of those terms are zero...
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
but you can work from them... right?
 2 years ago

RadEn Group TitleBest ResponseYou've already chosen the best response.0
f(x) = f(x0) + (xx0)*f'(x0)/1! + (xx0)^2*f"(x0)/2! + (xx0)^3*f'"(x0)/3!
 2 years ago

RadEn Group TitleBest ResponseYou've already chosen the best response.0
with x0 = pi/4, for f(x) = sinx > f(pi/4) = sin(pi/4) = 1/2*sqrt(2) f'(x) = cosx > f'(pi/4) = cos(pi/4) = 1/2*sqrt(2) f"(x) = sinx > f"(pi/4) = sin(pi/4) = 1/2*sqrt(2) f'"(x) = cosx > f'"(pi/4) = cos(pi/4) = 1/2*sqrt(2) now, just subtitute all numbers above to generally formula !!!
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.